Theorems · Definition · general topology
AddGroupFilterBasis.uniformSpace
{G : Type u_1} → [inst : AddCommGroup G] → AddGroupFilterBasis G → UniformSpace GThe uniform space structure associated to an abelian group filter basis via the associated topological abelian group structure.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommGroupstatement and proof · cited by 12,871
- UniformSpacestatement · cited by 2,040
- IsTopologicalAddGroup.rightUniformSpaceproof · cited by 33
- AddGroupFilterBasisstatement and proof · cited by 27
Cited by2
Results whose statement or proof uses this declaration.
- AddGroupFilterBasis.cauchy_iffstatement and proof · cited by 2
- AddGroupFilterBasis.isUniformAddGroupstatement · cited by 1